# How do you combine like terms in (5x ^ { 2} + 4x - 9) - ( - x ^ { 2} - 6x - 1)?

May 27, 2017

See a solution process below:

#### Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

$5 {x}^{2} + 4 x - 9 + {x}^{2} + 6 x + 1$

Next, group like terms:

$5 {x}^{2} + {x}^{2} + 4 x + 6 x - 9 + 1$

Now, combine like terms:

$5 {x}^{2} + 1 {x}^{2} + 4 x + 6 x - 9 + 1$

$\left(5 + 1\right) {x}^{2} + \left(4 + 6\right) x + \left(- 9 + 1\right)$

$6 {x}^{2} + 10 x + \left(- 8\right)$

$6 {x}^{2} + 10 x - 8$